1018968000 has 112 divisors (see below), whose sum is σ = 3364711584. Its totient is φ = 271718400.

The previous prime is 1018967977. The next prime is 1018968023. The reversal of 1018968000 is 8698101.

It is an interprime number because it is at equal distance from previous prime (1018967977) and next prime (1018968023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2772 + ... + 45228.

Almost surely, 2^1018968000 is an apocalyptic number.

1018968000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682355792).

1018968000 is an abundant number, since it is smaller than the sum of its proper divisors (2345743584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1018968000 is an equidigital number, since it uses as much as digits as its factorization.

1018968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42487 (or 42467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1018968000 is about 31921.2781698979. The cubic root of 1018968000 is about 1006.2831065583.

The spelling of 1018968000 in words is "one billion, eighteen million, nine hundred sixty-eight thousand".